Ninety-one out of 220 people working as cast and crew of the movie The Conqueror, which was filmed in 1955 downwind from nuclear bomb tests, ultimately contracted cancer (see Practice Problem 5 in Chapter 7). Based on age alone, though, only a 14% cancer rate was expected. Test the null hypothesis that the incidence of cancer in this group of people was no different than that expected, using the normal approximation to the binomial distribution.

Data from Patrice problem 5

In 1955, John Wayne played Genghis Khan in a movie called The Conqueror. It was not an artistic success. More unfortunately, the movie was filmed downwind of the site of 11 previous aboveground nuclear bomb tests. Of the 220 people who worked on this movie, 91 had been diagnosed with cancer by the early 1980s, including Wayne, his costars, and the director. According to large-scale epidemiological data, only about 14% of people of this age group, on average, should have been stricken with cancer within this time frame. We want to know 7 whether there is evidence for an increased cancer risk for people associated with this film.